Least Common Multiple (LCM) of 158 and 94
The least common multiple (LCM) of 158 and 94 is 7426.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 158 and 94?
First, calculate the GCD of 158 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 94 = 1 remainder 64 |
| 2 | 94 ÷ 64 = 1 remainder 30 |
| 3 | 64 ÷ 30 = 2 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 149 | 25628 |
| 138 and 162 | 3726 |
| 35 and 102 | 3570 |
| 111 and 86 | 9546 |
| 63 and 128 | 8064 |